Answer :
Using the Empirical Rule, the amount of water dispensed will be found 99.7% of the time in the range of 11.15 ounces and 12.05 ounces.
What does the Empirical Rule state?
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The mean and the standard deviation are given, respectively, by:
11.6 ounces and 0.15 ounces.
The bounds within 3 standard deviations of the mean, corresponding to 99.7% of the interval, are given as follows:
- 11.6 - 3 x 0.15 = 11.15 ounces.
- 11.6 + 3 x 0.15 = 12.05 ounces.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
#SPJ1